Approximate Efficiency and Scalar Stationarity in Unbounded Nonsmooth Convex Vector Optimization Problems

S. Bolintinéanu
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S. Bolintinéanu: Université de Perpignan

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 2, No 2, 265-296

Abstract: Abstract We deal with extended-valued nonsmooth convex vector optimization problems in infinite-dimensional spaces where the solution set (the weakly efficient set) may be empty. We characterize the class of convex vector functions having the property that every scalarly stationary sequence is a weakly-efficient sequence. We generalize the results obained in the scalar case by Auslender and Crouzeix about asymptotically well-behaved convex functions and improve substantially the few results known in the vector case.

Keywords: vector optimization; multicriteria optimization; stationary sequences; Kuhn–Tucker sequences; minimizing sequences; Pareto optimizing sequences; weakly-efficient sequences; weakly-infimal sets; convex analysis (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1004695229456

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